Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 250/489, 151/395, 473/330 quickly i.e. 17855750 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 250/489, 151/395, 473/330 is 17855750.
LCM(250/489, 151/395, 473/330) = 17855750
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 250/489,151/395,473/330
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 250,151,473
Least Common Multiple of Numerators i.e. LCM of 250,151,473 is 17855750.
GCF of Denominators means GCF of 489,395,330 as per the given fractions.
GCF of 489,395,330 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 250,151,473
Given numbers has no common factors except 1. So, there LCM is their product i.e 17855750
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 250,151,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(250,151,473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(250,151,473) x common factors =1 x 1 = 1
LCM(250,151,473) = ( 250 × 151 × 473 ) / 1
LCM(250,151,473) = 17855750 / 1
LCM(250,151,473) = 17855750
Lets's calculate GCF of 489,395,330
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17855750/1
Therefore the LCM of Fractions 250/489,151/395,473/330 is 17855750
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1,5,79,395
Factors of 330
List of positive integer factors of 330 that divides 330 without a remainder.
1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330
Greatest Common Factor
We found the factors 489,395,330 . The biggest common factor number is the GCF number.
So the greatest common factor 489,395,330 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 250/489, 151/395, 473/330?
Answer: LCM of Numerators as per given numbers 250/489, 151/395, 473/330 is
LCM of Numerators i.e. for 250,151,473 is 17855750
GCF of denominators i.e. for 489,395,330 is 1.
Thus, LCM of Fractions is 17855750.Finally, LCM of Fractions for 250/489, 151/395, 473/330 is 17855750.